Least Common Multiple of 148/75, 858/5925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/75, 858/5925 quickly i.e. 63492/75 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/75, 858/5925 is 63492/75.

LCM(148/75, 858/5925) = 63492/75

LCM of 148/75, 858/5925

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 148/75,858/5925

Given numbers are 148/75,858/5925

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 148,858

Least Common Multiple of Numerators i.e. LCM of 148,858 is 63492.

GCF of Denominators means GCF of 75,5925 as per the given fractions.

GCF of 75,5925 is 75 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,858

LCM of Fractions 148/75,858/5925 is 63492/75

2 148, 858
74, 429

∴ So the LCM of the given numbers is 2 x 74 x 429 = 63492

Least Common Multiple of 148,858 with GCF Formula

Least Common Multiple of 148,858 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 148,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,858) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(148,858) x common factors =2 x 1 = 2

LCM(148,858) = ( 148 × 858 ) / 2

LCM(148,858) = 126984 / 2

LCM(148,858) = 63492


Lets's calculate GCF of 75,5925

3 75, 5925
5 25, 1975
5 5, 395
1, 79

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63492/75

Therefore the LCM of Fractions 148/75,858/5925 is 63492/75

Greatest Common Factor of 75,5925 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,5925 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

Greatest Common Factor

We found the factors 75,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 75,5925 is 75.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 148/75, 858/5925

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 148/75, 858/5925?

Answer: LCM of Numerators as per given numbers 148/75, 858/5925 is

LCM of Numerators i.e. for 148,858 is 63492

GCF of denominators i.e. for 75,5925 is 75.

Thus, LCM of Fractions is 63492/75.Finally, LCM of Fractions for 148/75, 858/5925 is 63492/75.